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Multiplicative irreducibility of shifted multiplicative subgroups

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract In a recent breakthrough, Kalmynin resolved conjectures of Lev–Sonn and Sárközy on additive decompositions of multiplicative subgroups of prime fields. In this paper, inspired by a related conjecture of Sárközy, we prove multiplicative analogues of Kalmynin's results. We show that for every proper multiplicative subgroup G$G$, the shifted set (
Seoyoung Kim, Chi Hoi Yip, Semin Yoo
wiley   +1 more source

Empirical Bayes Covariance Decomposition, and a Solution to the Multiple Tuning Problem in Sparse PCA. [PDF]

J Comput Graph Stat
Kang J, Stephens M.
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Herzschrittmacherther Elektrophysiol
Haverkamp W, Hindricks G, Strodthoff N.
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An Entropy-Regularised AI Framework for Multi-Asset Volatility Spillover Forecasting and CVaR-Constrained Portfolio Allocation in Financial Markets. [PDF]

Entropy (Basel)
Yu J, Wang L, Sun X.
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Bayes' theorem and the physical examination: probability assessment and diagnostic decision making. [PDF]

Acad Med, 2011
Herrle SR, Corbett EC, Fagan MJ, Moore CG, Elnicki DM.   +4 more
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Sci Rep
Neirz P, Allende H, Saavedra C.
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Explaining success in Bayesian reasoning with the adaptive toolbox and expertise. [PDF]

Psychon Bull Rev
Fenwick H, Campitelli G, Thompson MB.
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Context-aware monitoring: rethinking comprehensive screening in the era of AI. [PDF]

NPJ Digit Med
Shaywitz DA, Price ND, Sodickson DK.
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Reliability, bias, and computational cost of estimating the Bayes factor using bridge sampling and the Savage-Dickey density ratio. [PDF]

Behav Res Methods
Oberauer K, Musfeld P, Aust F.
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Design and implementation of a hybrid machine learning framework for predicting heart rate status. [PDF]

Sci Rep
Emami M, Salehbagheri N, Rajebi S, Pedrammehr S, Shirini K.   +4 more
europepmc   +1 more source